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Finding the Fourth Proportional to 200,782.40, 277,088.40 and 120,194.34

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Solution

The fourth proportional to 200,782.40, 277,088.40 and 120,194.34 is: 165,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.40 : 277,088.40 = 120,194.34 : x
  2. Step 2: Convert to fraction form
    200,782.40/277,088.40 = 120,194.34/x
  3. Step 3: Cross multiply
    200,782.40x = 277,088.40 × 120,194.34
  4. Step 4: Simplify right side
    200,782.40x = 33,304,457,359.66
  5. Step 5: Solve for x
    x = 33,304,457,359.66/200,782.40
  6. Step 6: Final answer
    x = 165,873.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.